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Finding the Fourth Proportional to 7,380.88, 10,188.46 and 5,407.11

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Solution

The fourth proportional to 7,380.88, 10,188.46 and 5,407.11 is: 7,463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,380.88 : 10,188.46 = 5,407.11 : x
  2. Step 2: Convert to fraction form
    7,380.88/10,188.46 = 5,407.11/x
  3. Step 3: Cross multiply
    7,380.88x = 10,188.46 × 5,407.11
  4. Step 4: Simplify right side
    7,380.88x = 55,090,135.90
  5. Step 5: Solve for x
    x = 55,090,135.90/7,380.88
  6. Step 6: Final answer
    x = 7,463.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.